Details

Time bar (total: 10.7s)

sample312.0ms

Algorithm
intervals
Results
113.0ms35×body2560valid
81.0ms45×body1280valid
24.0ms1×body10240exit
15.0ms26×body640valid
14.0ms153×body80valid
4.0ms15×body320valid
1.0ms4×body160valid

simplify9.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.6b
(/ 1.0 (* F F))
3.5b
(* (/ 1.0 (* F F)) (tan (* PI l)))
28.8b
(tan (* PI l))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*l*
8×pow1
7×times-frac
6×associate-*r* prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp
3×tan-quot associate-/l* unswap-sqr
2×pow-prod-down *-commutative div-inv
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r*
Counts
4 → 77
Calls
4 calls:
8.0ms
(* PI l)
8.0ms
(/ 1.0 (* F F))
59.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
9.0ms
(tan (* PI l))

series292.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* PI l)
33.0ms
(/ 1.0 (* F F))
149.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
87.0ms
(tan (* PI l))

simplify39.0ms

Counts
89 → 89

prune248.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 13.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(* (/ (sqrt 1.0) F) (tan (* PI l)))
28.8b
(tan (* PI l))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
28×associate-*l*
22×add-cube-cbrt *-un-lft-identity
20×times-frac
13×add-exp-log add-cbrt-cube
10×pow1 sqrt-prod
9×associate-*r*
5×unswap-sqr
4×prod-exp cbrt-unprod add-log-exp
3×tan-quot pow-prod-down *-commutative
1×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ div-inv
Counts
4 → 88
Calls
4 calls:
7.0ms
(* PI l)
7.0ms
(* PI l)
43.0ms
(* (/ (sqrt 1.0) F) (tan (* PI l)))
8.0ms
(tan (* PI l))

series313.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* PI l)
22.0ms
(* PI l)
189.0ms
(* (/ (sqrt 1.0) F) (tan (* PI l)))
73.0ms
(tan (* PI l))

simplify93.0ms

Counts
100 → 100

prune348.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 13.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
28.2b
(sin (* PI l))
28.4b
(cos (* PI l))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
4×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 50
Calls
4 calls:
13.0ms
(* PI l)
7.0ms
(* PI l)
7.0ms
(sin (* PI l))
7.0ms
(cos (* PI l))

series99.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* PI l)
23.0ms
(* PI l)
26.0ms
(sin (* PI l))
21.0ms
(cos (* PI l))

simplify110.0ms

Counts
62 → 62

prune259.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.8b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt l)
0.5b
(cbrt l)
28.0b
(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
28.2b
(sin (* PI l))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
2×pow1/3
Counts
4 → 36
Calls
4 calls:
1.0ms
(cbrt l)
1.0ms
(cbrt l)
45.0ms
(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
7.0ms
(sin (* PI l))

series492.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(cbrt l)
216.0ms
(cbrt l)
32.0ms
(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
27.0ms
(sin (* PI l))

simplify80.0ms

Counts
48 → 48

prune211.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.8b

regimes493.0ms

Accuracy

75.9% (1.2b remaining)

Error of 8.8b against oracle of 7.6b and baseline of 12.5b

bsearch3.0ms

simplify2.0ms

end0.0ms

sample6.9s

Algorithm
intervals
Results
3.4s829×body2560valid
1.6s1696×body1280valid
900.0ms972×body640valid
403.0ms4542×body80valid
193.0ms352×body320valid
47.0ms2×body10240exit
43.0ms214×body160valid